Owing to the high confidentiality, low potentiometer resolution, strong anti-interference ability and good environmental adaptability, ultraviolet (UV) communication is widely used in the field of optical communication. To better exploit the advantages and attenuate the impact of disadvantages such as serious atmospheric loss and short transmission distance, a study of wireless UV self-organizing network with pulse position modulation is carried out in this study. Based on the Monte Carlo method, simulation analysis is carried out, and the path loss parameters under different transceiver elevation angles are obtained. Besides, the communication radii of UV nodes with pulse position modulation are derived, and the correlation between k-connectivity and some communication parameters of UV networks is explored. The results illustrate that a negative correlation is maintained between network connectivity rate and data rate; and node density and transmit power are positively correlated. The research in this study can provide reference for future applications of UV communication networks.